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If cos A + cos2 A = 1 then sin2 A + sin4 A = ?(a) 1 (b) 2 (c) 4 (d) 3 |
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Answer» Correct answer is (a) 1 cos A + cos2 A = 1 => cos A = 1 − cos2 A => cos A = sin2 A (∵ 1 − cos2 A = sin2) => cos2 A = sin4 A (Squaring both sides) => 1 − sin2 A = sin4 A => sin4 A + sin2 A = 1 |
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